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Finding the Fourth Proportional to 16,223.50, 22,388.43 and 8,771.50

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Solution

The fourth proportional to 16,223.50, 22,388.43 and 8,771.50 is: 12,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.50 : 22,388.43 = 8,771.50 : x
  2. Step 2: Convert to fraction form
    16,223.50/22,388.43 = 8,771.50/x
  3. Step 3: Cross multiply
    16,223.50x = 22,388.43 × 8,771.50
  4. Step 4: Simplify right side
    16,223.50x = 196,380,113.75
  5. Step 5: Solve for x
    x = 196,380,113.75/16,223.50
  6. Step 6: Final answer
    x = 12,104.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.